What are the solutions to the equation x^5-2x^4-24x^3=0 ?

The solutions to the equation x^5-2x^4-24x^3=0 are x=0,x=-4,x=6

Find the zeros of x^5-2x^4-24x^3=0

The zeros of x^5-2x^4-24x^3=0 are x=0,x=-4,x=6

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x^{5} - 2 x^{4} - 24 x^{3} = 0

x = 0, x = - 4, x = 6

Solution steps

x^{5} - 2 x^{4} - 24 x^{3} = 0

Factor

x^{5} - 2 x^{4} - 24 x^{3} : x^{3} (x + 4) (x - 6)

x^{3} (x + 4) (x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 4 = 0 or x - 6 = 0

Solve

x + 4 = 0 : x = - 4

Solve

x - 6 = 0 : x = 6

The solutions are

x = 0, x = - 4, x = 6

x^{3} - 2 x - 2 = 1.5

2 x^{3} + 3 x^{2} + 8 x + 12 = 0

x^{3} - 8 x^{2} + 12 x - 4 = 0

c^{3} = 46

z^{3} = (- 53 + 5 i)^{3}

What are the solutions to the equation x^5-2x^4-24x^3=0 ?
The solutions to the equation x^5-2x^4-24x^3=0 are x=0,x=-4,x=6
Find the zeros of x^5-2x^4-24x^3=0
The zeros of x^5-2x^4-24x^3=0 are x=0,x=-4,x=6